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5000 Years of Geometry
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The book provides a fascinating overview of geometrical ideas and perceptions all the way from primitive societies up to the mathematical as well as artistic concepts of the 20th century. Geometry is presented as developments in cultural history and its interaction with architecture, the visual arts, philosophy, science, and engineering:§§Its origins in the ancient cultures along the Indus and Nile rivers and in Mesopotamia§§The golden age of ancient Greece§§In Islamic countries.§§In India, China, Japan, and in the ancient American cultures§§The developments in Europe during the Middle Ages and above all during the Renaissance§§New approaches in the 17th and 18th centuries: descriptive and projective geometry, coordinate methods, and analytical geometry§§The revolutionary findings of the 19th and 20th centuries: axiom systems, geometry as a theory with multiple structures.§
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